Finding the Third Proportional to 238,076 and 382,784

Step by Step Solution

1. Step 1: Write the proportion equation
   238,076 : 382,784 = 382,784 : x
2. Step 2: Convert to fraction form
   238,076/382,784 = 382,784/x
3. Step 3: Cross multiply
   238,076x = 382,784 × 382,784
4. Step 4: Simplify right side
   238,076x = 146,523,590,656
5. Step 5: Solve for x
   x = 146,523,590,656/238,076
6. Step 6: Final answer
   x = 615,448.81